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1. Lim x →4 (x^2 -16)/ (x^2 – 4x)
2. Lim x → 1 (x^2 + 3x -4)/(x-1)
3. Lim x→(pi/2)+ (cos x)/(1- sinx)
4. Lim x → 0 (sin 4x)/ (tan 3x)
5. Lim x → 0 (x2^x)/(2^x -1)
6. Lim x →1(1 – x + ln x)/(1+ cos 9pi x)
7. Lim x→0 x/(arctan(9x))
8. Lim x→0 cot 4x sin 8x
9. Lim x→infintiy x^5 e^-x^4
10. Lim x→0+ sin x ln 3x
11. Lim x→ pi/2 (sec x – tan x)
12. Lim x→ infinity (7x – ln x)
13. Lim x→ 0+ (tan 5x)^x
14. Lim x→ 0 (1- 2x)^1/x
15. Lim x→ infinity (e^x + x)^5/x
Find the limit. Use l’Hospital’s Rule if appropriate. If there is a more elementary method, consider using it.
Find the limit. Use l’Hospital’s Rule if appropriate. If there is a more elementary method, consider using it.
Find the limit. Use l’Hospital’s Rule if appropriate. If there is a more elementary method, consider using it.
Find the limit. Use l’Hospital’s Rule if appropriate. If there is a more elementary method, consider using it.